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Simplifying -8(z + -1) = -7z + -5 Reorder the terms: -8(-1 + z) = -7z + -5 (-1 * -8 + z * -8) = -7z + -5 (8 + -8z) = -7z + -5 Reorder the terms: 8 + -8z = -5 + -7z Solving 8 + -8z = -5 + -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. 8 + -8z + 7z = -5 + -7z + 7z Combine like terms: -8z + 7z = -1z 8 + -1z = -5 + -7z + 7z Combine like terms: -7z + 7z = 0 8 + -1z = -5 + 0 8 + -1z = -5 Add '-8' to each side of the equation. 8 + -8 + -1z = -5 + -8 Combine like terms: 8 + -8 = 0 0 + -1z = -5 + -8 -1z = -5 + -8 Combine like terms: -5 + -8 = -13 -1z = -13 Divide each side by '-1'. z = 13 Simplifying z = 13
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